Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goal to read half of the pages left in his book each day.

a.) Total pages Lamar have to read the first day to meet his  goal = 300

     Total pages left to read after 3 days = 75

b.) Total pages he need to read on day 8 = 4.6875

Step-by-step explanation:

The exact question is as follows :

Given - Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goal to read half of the pages left in his book each day.

To find -

a)  How many pages will Lamar have to read the first day to meet his  goal?  

    How many will he have left to read after 3 days?

b)  How many pages will he need to read on day 8?

Solution -

Given that,

Total number of pages = 600

Now,

In Day 1 ,

He will finish half of the pages

So, he finished pages = = 300

i.e.

In Day 1 , he Finished 300 pages.

So,

At the end of Day 1, total pages left = 600 - 300 = 300

so,

Total pages Lamar have to read the first day to meet his  goal = 300

Now,

For day 2 ,

Total pages = 300

He will finish half of the pages

So, he finished pages = = 150

i.e.

In Day 2 , he Finished 150 pages.

So,

At the end of Day 2, total pages left = 300 - 150 = 150

Now,

For day 3 ,

Total pages = 150

He will finish half of the pages

So, he finished pages = = 75

i.e.

In Day 3 , he Finished 75 pages.

So,

At the end of Day 3, total pages left = 150 - 75 = 75

So,

Total pages left to read after 3 days = 75

Now,

For day 4 ,

Total pages = 75

He will finish half of the pages

So, he finished pages = = 37.5

i.e.

In Day 4 , he Finished 37.5 pages.

So,

At the end of Day 4, total pages left = 75 - 37.5 = 37.5

Now,

For day 5 ,

Total pages = 37.5

He will finish half of the pages

So, he finished pages = = 18.75

i.e.

In Day 5 , he Finished 18.75 pages.

So,

At the end of Day 5, total pages left = 37.5 - 18.75 = 18.75

Now,

For day 6 ,

Total pages = 18.75

He will finish half of the pages

So, he finished pages = = 9.375

i.e.

In Day 6 , he Finished 9.375 pages.

So,

At the end of Day 6, total pages left = 18.75 - 9.375 = 9.375

Now,

For day 7 ,

Total pages = 9.375

He will finish half of the pages

So, he finished pages = = 4.6875

i.e.

In Day 7 , he Finished 4.6875 pages.

So,

At the end of Day 7, total pages left = 9.375 - 4.6875 = 4.6875

So,

At the starting of Day 8,

Total pages = 4.6875

So,

Total pages he need to read on day 8 = 4.6875

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0